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Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions (1810.03149v1)

Published 7 Oct 2018 in math.AP

Abstract: We give a detailed study of attractors for measure driven quintic damped wave equations with periodic boundary conditions. This includes uniform energy-to-Strichartz estimates, the existence of uniform attractors in a weak or strong topology in the energy phase space, the possibility to present them as a union of all complete trajectories, further regularity, etc.

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